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Finding the Fourth Proportional to 2,889.68, 4,332.77 and 1,405.97

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Solution

The fourth proportional to 2,889.68, 4,332.77 and 1,405.97 is: 2,108.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.68 : 4,332.77 = 1,405.97 : x
  2. Step 2: Convert to fraction form
    2,889.68/4,332.77 = 1,405.97/x
  3. Step 3: Cross multiply
    2,889.68x = 4,332.77 × 1,405.97
  4. Step 4: Simplify right side
    2,889.68x = 6,091,737.32
  5. Step 5: Solve for x
    x = 6,091,737.32/2,889.68
  6. Step 6: Final answer
    x = 2,108.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.